Huygens, Christiaan, Christiani Hugenii opera varia; Bd. 1: Opera mechanica

Table of contents

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[91.] PROPOSITIO III.
Page: 200 (125)
[92.] PROPOSITIO IV.
Page: 201 (126)
[93.] PROPOSITIO V.
Page: 202 (127)
[94.] PROPOSITIO VI.
Page: 208 (130)
[95.] DEFINITIO XIV.
Page: 210 (132)
[96.] DEFINITIO XV.
Page: 210 (132)
[97.] PROPOSITIO VII.
Page: 210 (132)
[98.] PROPOSITIO VIII.
Page: 211 (133)
[99.] PROPOSITIO IX.
Page: 213 (135)
[100.] PROPOSITIO X.
Page: 214 (136)
[101.] PROPOSITIO XI.
Page: 218 (137)
[102.] PROPOSITIO XII.
Page: 218 (137)
[103.] PROPOSITIO XIII.
Page: 221 (140)
[104.] PROPOSITIO XIV.
Page: 223 (142)
[105.] PROPOSITIO XV.
Page: 228 (144)
[106.] PROPOSITIO XVI.
Page: 232 (148)
[107.] PROPOSITIO XVII.
Page: 233 (149)
[108.] PROPOSITIO XVIII.
Page: 234 (150)
[109.] PROPOSITIO XIX.
Page: 237 (153)
[110.] PROPOSITIO XX.
Page: 238 (154)
[111.] PROPOSITIO XXI.
Page: 238 (154)
[112.] Centrum oſcillationis Circuli.
Page: 247 (157)
[113.] Centrum oſcillationis Rectanguli.
Page: 247 (157)
[114.] Centrum oſcillationis Trianguli iſoſcelis.
Page: 248 (158)
[115.] Centrum oſcillationis Parabolæ.
Page: 248 (158)
[116.] Centrum oſcillationis Sectoris circuli.
Page: 248 (158)
[117.] Centrum oſcillationis Circuli, aliter quam ſupra.
Page: 250 (160)
[118.] Centrum oſcillationis Peripheriæ circuli.
Page: 250 (160)
[119.] Centrum oſcillationis Polygonorum ordinatorum.
Page: 254 (161)
[120.] Loci plani & ſolidi uſus in hac Theoria.
Page: 254 (161)
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            Geometriam, eodem anno editam, adjecta eſt. </s>
            <s xml:id="echoid-s2255" xml:space="preserve">Et ille qui-
              <lb/>
              <note position="right" xlink:label="note-0149-01" xlink:href="note-0149-01a" xml:space="preserve">
                <emph style="sc">De linea-</emph>
                <lb/>
                <emph style="sc">RUM CUR-</emph>
                <lb/>
                <emph style="sc">VARUM</emph>
                <lb/>
                <emph style="sc">EVOLUTIO-</emph>
                <lb/>
                <emph style="sc">NE</emph>
              .</note>
            dem omnium primus curvam lineam, ex earum numero qua-
              <lb/>
            rum puncta quælibet geometricè definiuntur, ad hanc men-
              <lb/>
            ſuram reduxit, cum ſub idem tempus Cycloidis longitudi-
              <lb/>
            nem dediſſet Wrennius, non minus ingenioſo epicheremate.</s>
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            <s xml:id="echoid-s2257" xml:space="preserve">Scio equidem, ab edito Heuratii invento, Doctiſſimum
              <lb/>
            Walliſium Wilhelmo Nelio, nobili apud ſuos juveni, idem
              <lb/>
            attribuere voluiſſe, in libro de Ciſſoide. </s>
            <s xml:id="echoid-s2258" xml:space="preserve">Sed mihi, quæ il-
              <lb/>
            lic adfert perpendenti, videtur non multum quidem ab in-
              <lb/>
            vento illo Nelium abfuiſſe, neque tamen plane id adſecutum
              <lb/>
            eſſe. </s>
            <s xml:id="echoid-s2259" xml:space="preserve">Nam neque ex demonſtratione ejus, quam Walliſius
              <lb/>
            affert, apparet illum ſatis perſpexiſſe quænam foret curva
              <lb/>
            illa, cujus, ſi conſtrueretur, menſuram datam fore videbat.
              <lb/>
            </s>
            <s xml:id="echoid-s2260" xml:space="preserve">Et credibile eſt, ſi ſciviſſet ex earum numero eſſe quæ jam-
              <lb/>
            pridem Geometris cognitæ fuerant, vel ipſum, vel alios ejus
              <lb/>
            nomine, tam nobile inventum Geometris maturius imperti-
              <lb/>
            turos fuiſſe, quod, ſi quod aliud, merebatur ut Archime-
              <lb/>
            deum illud εὕρη{κα} exclamarent. </s>
            <s xml:id="echoid-s2261" xml:space="preserve">Sane ejusdem inventi, tan-
              <lb/>
            quam à ſe profecti, etiam Fermatius, Tholoſanus ſenator
              <lb/>
            ac Geometra peritiſſimus, demonſtrationes conſcripſit, quæ
              <lb/>
            anno 1660 excuſæ ſunt; </s>
            <s xml:id="echoid-s2262" xml:space="preserve">ſed illæ ſero utique.</s>
            <s xml:id="echoid-s2263" xml:space="preserve"/>
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            <s xml:id="echoid-s2264" xml:space="preserve">Cum vero in his ſimus, etiam de nobis dicere liceat, quid
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            ad promovendum tam eximium inventum contulerimus: </s>
            <s xml:id="echoid-s2265" xml:space="preserve">ſi-
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            quidem & </s>
            <s xml:id="echoid-s2266" xml:space="preserve">Heuratio ut eo perveniret occaſionem præbuimus, & </s>
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              <lb/>
            dimenſionem curvæ parabolicæ ex hyperbolæ data quadratura,
              <lb/>
            quæ Heuratiani inventi pars eſt, ante ipſum atque omnium
              <lb/>
            primi reperimus. </s>
            <s xml:id="echoid-s2268" xml:space="preserve">Etenim ſub finem anni 1657 in hæc duo ſi-
              <lb/>
            mul incidimus, curvæ parabolicæ quam dixi dimenſionem,
              <lb/>
            & </s>
            <s xml:id="echoid-s2269" xml:space="preserve">ſuperficiei conoidis parabolici in circulum reductionem.
              <lb/>
            </s>
            <s xml:id="echoid-s2270" xml:space="preserve">Cumque Schotenio, aliisque item amicorum, per literas indi-
              <lb/>
            caſſemus, duo quædam non vulgaria circa parabolam inven-
              <lb/>
            ta nobis ſeſe obtuliſſe, eorumque alterum eſſe conoidicæ ſu-
              <lb/>
            perficiei extenſionem in circulum, ille literas eas cum Heu-
              <lb/>
            ratio, quo tum familiariter utebatur, communicavit. </s>
            <s xml:id="echoid-s2271" xml:space="preserve">Huic
              <lb/>
            vero, acutiſſimi ingenii viro, non difficile fuit intelligere,
              <lb/>
            conoidis iſtius ſuperficiei affinem eſſe dimenſionem ipſius </s>
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